248553861402784 has 192 divisors, whose sum is σ = 602669298696192. Its totient is φ = 98558411212800.

The previous prime is 248553861402751. The next prime is 248553861402793. The reversal of 248553861402784 is 487204168355842.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339981124 + ... + 340711420.

It is an arithmetic number, because the mean of its divisors is an integer number (3138902597376).

Almost surely, 2^{248553861402784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248553861402784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301334649348096).

248553861402784 is an abundant number, since it is smaller than the sum of its proper divisors (354115437293408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248553861402784 is a wasteful number, since it uses less digits than its factorization.

248553861402784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732499 (or 732491 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 67.

The spelling of 248553861402784 in words is "two hundred forty-eight trillion, five hundred fifty-three billion, eight hundred sixty-one million, four hundred two thousand, seven hundred eighty-four".